Vertical Angles

Q. A pair of non-adjacent angles formed by two intersecting lines are called angles.

Q. Which of the following pairs of angles are Vertical angles?

1. $\angle AOD$ and $\angle BOC$
2. $\angle AOE$ and $\angle COD$
3. $\angle EOB$ and $\angle FOD$
4. $\angle AOB$ and $\angle COD$

Q. Vertical angles are pairs of opposite angles made by two intersecting lines.

1. True
2. False

Q. How many pairs of vertical angles are formed by two intersecting lines?

1. $1$
2. $2$
3. $4$
4. None of the above

Q. In the adjoining figure, identify the vertically opposite angle of $\angle EOF$.

1. $\angle FOG$
2. $\angle GOH$
3. $\angle HOE$
4. None of the above

Q. When two lines intersect at a point, what is the sum of the measures of both pairs of vertical angles?

1. ${90}^o$
2. ${180}^o$
3. ${360}^o$
4. None of the above

Q.
For the diagram above choose the pair of vertical angles.

1. $\angle 1$
2. $\angle 2$
3. $\angle 3$
4. $\angle 4$
5. $\angle 5$
6. $\angle 6$

Q. In the diagram above, if $PQ$ and $CD$ are parallel to each other and $\angle 1={60}^{\circ }$, then $\angle 6=$.

1. ${60}^{\circ }$
2. ${120}^{\circ }$
3. ${150}^{\circ }$

Q. There exists no vertical pair for $\angle 3$ in the figure given below.

1. False
2. True

Q. In the diagram above, if $\angle BOE$ is twice the $\angle DOE$, then $\angle BOE=$

1. ${72}^{\circ }$
2. ${36}^{\circ }$
3. ${64}^{\circ }$

Q.
Given the image above, $\angle 1=$ and $\angle 5=$.

1. $\angle 4$
2. $\angle 2$
3. $\angle 3$
4. $\angle 2+\angle 3$

Q.
In the diagram above, if $\text{CD}$ and $\text{PQ}$ are not parallel, then, $\angle 1=$ and $\angle 6=$.

1. $\angle 3$
2. $\angle 4$
3. $\angle 8$
4. $\angle 5$